why dust comes out of the carpet on beating??

when the carpet is beaten with a stick, dust comes out of it as the loose dust in it are in the state of rest. when the carpet is hit with a stick , it is suddenly set in to motion , but the loose in it remains in the state of rest because of inertia of rest. thus, in a way dust is left behind relative to carpet and hence comes out in air.

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when we hit carpet  with stick,the carpet moves tro and fro but the dust  particles remain at rest ,due to their inertia.so the come out

Because when you shake it the particles break free of the threads!

It is due to the inertia of an object, that is every object tends to continue in its state of rest or of motion. When we beat capet with a stick, then carpet changes its state to motion. But dust particles want to continue its state of rest and hence due to that they remain there and fall down due to gravitational force. This can be proved by law of inertia.